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AP Physics 1 Unit 3A: Work and Kinetic Energy Theorem — practice questions — page 3

Explore 92 free Unit 3A: Work and Kinetic Energy Theorem questions in AP Physics 1 Physics. Open each question or exercise to read its content, reference answers and available explanation.

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Unit 3A: Work and Kinetic Energy Theorem questions and exercises with answers

Showing questions 61–90 of 92.

Calculate the centripetal force exerted on a 900 kg car that negotiates a 500 m radius curve at 25.0 m/s.Read the answer and worked solution →On an ideally banked, frictionless curve, the banking angle theta needed for speed v and radius r satisfies which relationship?Read the answer and worked solution →What is a fictitious force, as distinguished from a real force like tension or friction?Read the answer and worked solution →Using G, Earth's mass, and Earth's radius, what value does Newton's law of gravitation predict for the acceleration due to gravity at Earth's surface?Read the answer and worked solution →A 30.0-kg package on a roller belt conveyor moves at 0.500 m/s. What is its kinetic energy?Read the answer and worked solution →A roller coaster starts from rest at the top of a 20.0 m hill, with friction assumed negligible. What is its final speed at the bottom, taking g = 9.80 m/s^2?Read the answer and worked solution →Power is defined as the rate at which what physical quantity is done or transferred?Read the answer and worked solution →In SI units, the watt is the unit of power. How is one watt related to the joule and the second?Read the answer and worked solution →A 0.200-kW computer runs 6.00 hours per day for 30.0 days, with electricity priced at $0.120 per kilowatt-hour. What is the total cost for the month?Read the answer and worked solution →Power output of devices such as electric motors is sometimes expressed in horsepower instead of watts. How many watts equal one horsepower?Read the answer and worked solution →Among the body's organs, the basal metabolic rate is divided unevenly. Which organ system receives the largest single share of that resting energy budget?Read the answer and worked solution →About what fraction of the calories a person burns in a day go toward sustaining basic body functions included in the basal metabolic rate?Read the answer and worked solution →Among the principal energy resources used worldwide, which single fuel supplies about 40% of the world's energy, with much of it going to transportation?Read the answer and worked solution →Only 10% of United States electricity is generated by renewable resources. Which renewable source supplies most of that 10%?Read the answer and worked solution →Split real forces from invented onesRead the answer and worked solution →Complete the centripetal ruleRead the answer and worked solution →Match each turning quantity to its ruleRead the answer and worked solution →Fix the false claims about workRead the answer and worked solution →Trace energy through a power plantRead the answer and worked solution →Rank these machines by efficiencyRead the answer and worked solution →Real force or fictitious?Read the answer and worked solution →Circles and orbits bingoRead the answer and worked solution →What gravity depends onRead the answer and worked solution →Points to the centre or not?Read the answer and worked solution →Spot the odd oneRead the answer and worked solution →Kinematics is defined as the study of motion:Read the answer and worked solution →Displacement is defined by magnitude and direction, whereas distance is defined by:Read the answer and worked solution →The total length of the path actually taken between two points is the:Read the answer and worked solution →The SI unit for velocity is:Read the answer and worked solution →Velocity is a vector quantity because it is defined using:Read the answer and worked solution →

Worked practice questions

Calculate the centripetal force exerted on a 900 kg car that negotiates a 500 m radius curve at 25.0 m/s.

  1. 1125 N
  2. 45.0 N
  3. 56.25 N
  4. 2250 N
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Correct answer: A. 1125 N

1. Centripetal force is Fc = m*v^2/r. 2. Substituting the given values, Fc = (900 kg)(25.0 m/s)^2 / (500 m). 3. Squaring the speed gives 625 m^2/s^2, and (900 kg)(625 m^2/s^2) = 562,500 kg*m^2/s^2. 4. Dividing by 500 m gives Fc = 1125 N. 5. 2250 N would come from forgetting to square the speed correctly and doubling instead, while 45.0 N and 56.25 N come from dividing by the mass rather than multiplying by it. _Source: OpenStax College Physics (CC BY 4.0), Ch 6 "Uniform Circular Motion and Gravitation", section 6.3 Centripetal Force_

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On an ideally banked, frictionless curve, the banking angle theta needed for speed v and radius r satisfies which relationship?

  1. tan(theta) = v^2 / (r*g)
  2. sin(theta) = v / (r*g)
  3. tan(theta) = r*g / v^2
  4. cos(theta) = v^2 * r * g
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Correct answer: A. tan(theta) = v^2 / (r*g)

1. On a frictionless banked curve, the horizontal component of the normal force supplies the centripetal force and the vertical component balances the car's weight. 2. Dividing the horizontal equation by the vertical equation eliminates both the normal force and the mass, leaving tan(theta) = v^2 / (r*g). 3. This form correctly shows that a larger speed or a smaller radius requires a steeper banking angle. 4. Inverting the ratio, or replacing tangent with sine or cosine, would not follow from dividing the two force-balance equations and gives the wrong dependence on v and r. _Source: OpenStax College Physics (CC BY 4.0), Ch 6 "Uniform Circular Motion and Gravitation", section 6.3 Centripetal Force_

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What is a fictitious force, as distinguished from a real force like tension or friction?

  1. A force having no physical origin
  2. A force that only pushes, never pulls
  3. A force that acts solely on rotating objects
  4. A force equal in size to gravity
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Correct answer: A. A force having no physical origin

1. A fictitious force is defined as a force having no physical origin. 2. It arises only because an observer is using a non-inertial, accelerating or rotating frame of reference rather than an inertial one. 3. It is not restricted to pushing only, nor is it defined by acting solely on rotating objects, and it has no fixed size relative to gravity. 4. The defining feature is the absence of a real physical source, which is exactly what separates it from forces like tension, friction, or gravity. _Source: OpenStax College Physics (CC BY 4.0), Ch 6 "Uniform Circular Motion and Gravitation", section 6.4 Fictitious Forces and Non-inertial Frames: The Coriolis Force_

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